%------------------------------------------------------------------------------
% File : ConnectPP---0.7.2
% Problem : GEO002-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 08:39:11 AM UTC 2026
% Result : Unsatisfiable 0.21s 0.52s
% Output : Proof 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 8 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 2 ( 2 usr; 2 con; 0-0 aty)
% Number of variables : 5 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(t3,axiom,
between(U,V,V),
file('theBenchmark.p',t3) ).
cnf(t1,axiom,
( between(W,V,U)
| ~ between(U,V,W) ),
file('theBenchmark.p',t1) ).
cnf(prove_a_between_a_and_b,negated_conjecture,
~ between(a,a,b),
file('theBenchmark.p',prove_a_between_a_and_b) ).
cnf(t1_001,plain,
~ between(a,a,b),
inference(start,[status(thm),parent(0:0)],[prove_a_between_a_and_b]) ).
cnf(t2,plain,
( ~ between(b,a,a)
| between(a,a,b) ),
inference(extension,[status(thm),parent(t1:1)],[t1]) ).
cnf(t3_002,plain,
$false,
inference(connection,[status(thm),parent(t2:1)],[t2:1,t1:1]) ).
cnf(t4,plain,
between(b,a,a),
inference(extension,[status(thm),parent(t2:2)],[t3]) ).
cnf(t5,plain,
$false,
inference(connection,[status(thm),parent(t4:1)],[t4:1,t2:2]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO002-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 This is a CNF_UNS_RFO_SEQ_NHN problem
% 0.00/0.03 % Command : /export/starexec/sandbox2/solver/bin/connect++ --verbosity 1 --no-colour --tptp-proof --schedule default --timeout 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n008.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Sat Sep 19 07:18:38 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.21/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.52 % SZS output start Proof for theBenchmark
% See solution above
%------------------------------------------------------------------------------